I wanted to know if a 360 Tummy tuck, Extended Tummy tuck and a lower body lift are the same things but just different terms?

Many surgeons make a distinction between a "regular" tummy tuck and an "extended" tummy tuck, though I don't typically differentiate between the two.  Either of these procedures address the loose skin of the front of the abdomen.  The more loose skin is present, the longer the scar needs to be to achieve the greatest degree of improvement in shape and avoid a dog ear (bunching of skin at the end of the scar).  It is not worth limiting the scar length by a few centimeters if the trade-off is a less substantial improvement in shape.  A 360 tummy tuck is a more extensive procedure to remove loose skin of the front of the abdomen, love handles (hips), and lower back.  It is also called a "belt abdominoplasty" or a "lower body lift."  It results in a scar that goes all around the torso (low on the abdomen like a regular tummy tuck scar and just above the buttocks on the back).  This procedure can make a more complete improvement in the shape of the torso, but is more extensive, more expensive, has some higher risks, and has a longer recovery.  In my practice, most patients who choose this option are patients who have lost a significant amount of weight and have severe skin laxity.

Your confusion is understandable because there is a universally accepted nomenclature for the various kinds of tummy tucks  (abdominoplasties). 
Abdominal Panniculectomy - remove the overhanging lower abdominal skin
Mini-Abdominoplasty - remove excess lower abdominal skin, +/- love handle liposuction, +/- some degree of rectus muscle plication (incision usually smaller)
Abdominoplasty - usually involves low incision, hip-to-hip, umbilicus (belly button) is frequently moved, rectus abdominis muscle usually plicated, +/- love handle liposuction
Extended Abdominoplasty - would be an abdominoplasty with incisions going further back, but still accessible without flipping you over
Circumferential Abdominoplasty - abdominoplasty + buttock lift; incision goes all the way around one's waist
360 Degree Abdominoplasty = Circumferential Abdominoplasty
Torsoplasty = Circumferential Abdominoplasty
Fleur-de-Lis Abdominoplasty - abdominoplasty that also has a vertical incision running up the midline; adds a prominent scar and usually only done in patients with a history of massive weight loss
Lipoabdominoplasty- combines more liposuction than would be performed with a traditional abdominoplasty with skin removal

This is an excellent question, because as ABMS certified Plastic Surgeons, we have created different terms to describe the different types of surgery we offer patients that desire body contouring. If you have extra skin on your abdomen, we typically recommend you undergo a tummy tuck (abdominoplasty) which typically limits the incision to your lower abdomen and is hidden in a bikini line. If the excess skin extends around your hip bones, but not all the way around your back, we call this procedure an extended tummy tuck. Again our goal is to place the entire incision under your bikini. If you also have excess skin in your buttock area and outer thigh area, we offer you a lower body lift that could also be called a 360 tummy tuck. The key point is to consult with a ABMS certified Plastic Surgeon who can evaluate your anatomy and your goals for body contouring and who then offers you the procedure that will best meet your expectations. Good luck!